Question

If the product of HCF and LCM of two natural numbers is 378000, then which of the following can be their HCF?
66,130,34,20.

Answer 1

Heya user !!!

Here's the answer you are looking for

Let HCF = h and LCM = l

So, h × l = 378000

h × l / h = l which must be a whole number.

So, divide each option of h, where you get a whole number, that is the answer.

Here it goes .....

(a) 66

378000/66 = 5,727.27273 which is not a whole number.

So, 66 is not the answer.

(b) 130

378000/130 = 2,907.69231 which is not a whole number.

So, 130 is not the answer.

(c) 34

378000/34 = 11,117.6471 which is not a whole number.

So, 34 is not the answer.

(d) 20

378000/20 = 18,900 which is a whole number.

So, 20 is the answer.


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